This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
ACBD547216 = A C B D 5 4 7 2 = A(=1010) C(=1100) B(=1011) D(=1101) 5(=0101) 4(=0100) 7(=0111) 2(=0010) = 101011001011110101010100011100102
answer: ACBD547216 = 101011001011110101010100011100102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙167+12∙166+11∙165+13∙164+5∙163+4∙162+7∙161+2∙160 = 10∙268435456+12∙16777216+11∙1048576+13∙65536+5∙4096+4∙256+7∙16+2∙1 = 2684354560+201326592+11534336+851968+20480+1024+112+2 = 289808907410
got It: ACBD547216 =289808907410
Translate the number 289808907410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2898089074 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-2898089074 | 1449044537 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -1449044536 | 724522268 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -724522268 | 362261134 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -362261134 | 181130567 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -181130566 | 90565283 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -90565282 | 45282641 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -45282640 | 22641320 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -22641320 | 11320660 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -11320660 | 5660330 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -5660330 | 2830165 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -2830164 | 1415082 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -1415082 | 707541 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -707540 | 353770 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -353770 | 176885 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -176884 | 88442 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -88442 | 44221 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -44220 | 22110 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -22110 | 11055 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -11054 | 5527 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -5526 | 2763 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -2762 | 1381 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -1380 | 690 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -690 | 345 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -344 | 172 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -172 | 86 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -86 | 43 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -42 | 21 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
289808907410 = 101011001011110101010100011100102
answer: ACBD547216 = 101011001011110101010100011100102